Question

Two parallel lines are cut by a transversal and form a pair

of alternate exterior angles. One angle measures (6x +
5)º and the other measures (7x - 4)'. Explain how to
determine what those angles actually measure?

Answer 1

since alternate exterior angles are congruent, you get:

6x + 5 = 7x - 4

subtract 6x from both sides of this equation and add 4 to both sides of this equation to get 5 + 4 = 7x - 6x which results in 9 = x

solve for x to get x = 9 degrees.

Explanation:

Answer 2

Since the lines are parallel, the alternate exterior angles are congruent. Therefore you can set the expressions equal to each other and solve for x. Then you can substitute the value of x back into either expression to find the angle measure.

Hope this Helps!